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12228192 = 253314153
BaseRepresentation
bin101110101001…
…011001100000
3212000020221000
4232221121200
511112300232
61114032000
7205636464
oct56513140
925006830
1012228192
1169a2249
124118600
1326c1b22
1418a44a4
15111827c
hexba9660

12228192 has 48 divisors (see below), whose sum is σ = 35668080. Its totient is φ = 4075776.

The previous prime is 12228187. The next prime is 12228197. The reversal of 12228192 is 29182221.

It is an interprime number because it is at equal distance from previous prime (12228187) and next prime (12228197).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12228197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6213 + ... + 7940.

It is an arithmetic number, because the mean of its divisors is an integer number (743085).

Almost surely, 212228192 is an apocalyptic number.

12228192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12228192 is an abundant number, since it is smaller than the sum of its proper divisors (23439888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12228192 is a wasteful number, since it uses less digits than its factorization.

12228192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14172 (or 14158 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12228192 is about 3496.8831836365. The cubic root of 12228192 is about 230.3849382515.

The spelling of 12228192 in words is "twelve million, two hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14153 28306 42459 56612 84918 113224 127377 169836 226448 254754 339672 382131 452896 509508 679344 764262 1019016 1358688 1528524 2038032 3057048 4076064 6114096 12228192